* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download No Slide Title
Survey
Document related concepts
Numbers (TV series) wikipedia , lookup
History of mathematics wikipedia , lookup
Mathematics of radio engineering wikipedia , lookup
Positional notation wikipedia , lookup
History of mathematical notation wikipedia , lookup
Infinitesimal wikipedia , lookup
Georg Cantor's first set theory article wikipedia , lookup
Foundations of mathematics wikipedia , lookup
Proofs of Fermat's little theorem wikipedia , lookup
Surreal number wikipedia , lookup
Ethnomathematics wikipedia , lookup
Location arithmetic wikipedia , lookup
Large numbers wikipedia , lookup
Real number wikipedia , lookup
Transcript
Unit 1 Lecture 1 Signed Numbers Real Number System Symbols of equality, inequality, less than, greater than Unary operations: opposite of; absolute value Rules of Addition and Subtraction for Signed numbers Mathematical Statement into Symbols Lecture 1 1 Objectives • To identify Real numbers • To learn the rules for addition and subtraction of signed numbers • To learn how to go from a mathematical statements to symbols and solve Lecture 1 2 Real Numbers • Two subsets: Rationals and Irrationals • Rationals contain Integers as a subset • Integers contain Whole Numbers as a subset • Whole numbers contain Counting Numbers or Natural Numbers as a subset. Lecture 1 3 Examples • Counting Numbers or Natural Numbers {1, 2, 3, . . .} • Whole Numbers {0, 1, 2, 3 . . .} • Integers { . . . -3, -2, -1, 0, 1, 2, 3, . . .} • Rational Numbers { -8, - 1.5, 7/4, 0, 6, etc.} • Irrational Numbers { , 2, 7, etc. } Lecture 1 4 Lecture 1 5 Addition of Signed Numbers • Like Signs: – Ignore the signs – Add – Take the common sign • Unlike Signs: – Ignore the signs – Subtract – Look to see what the sign was of the larger unsigned number – Take that sign Lecture 1 6 Examples • Like Signs: +5+3=+8 -5-3 =-8 • Unlike Signs: +5-3=+2 -5+3=-2 Lecture 1 7 Mathematical Statements into Symbols 1. I have $60 and I owe you $90. What is my net worth? + 60 - 90 = - 30 Lecture 1 8 Mathematical Statements into Symbols 2. I am in debt for $50 and you give me $10. What is my net worth? - 50 + 10 = - 40 Lecture 1 9 Mathematical Statements into Symbols 3. I am in debt for $30 and you give me $40. What is my net worth? - 30 + 40 = 10 Lecture 1 10 Mathematical Statements into Symbols 4. I am in debt for $20 and I owe you $50. What is my net worth? - 20 - 50 = -70 Lecture 1 11 Perform the operation: –7+5 6 – 10 2 – 11 – 8 – 15 – 6 + 10 1 5 4 6 Lecture 1 12 Perform the operation: –7+5 –2 6 – 10 –4 2 – 11 –9 – 8 – 15 – 23 – 6 + 10 4 1 5 4 6 1 5 3 10 7 4 6 12 12 Lecture 1 13 Subtraction Key -key, binary key, 7th row, 5th column Lecture 1 14 Opposite Key (-) key, unary operation 9th row, 4th column Lecture 1 15 Use of the calculator to evaluate – 8.6 + 11.4 To add signed numbers use the opposite (-) key, 9th row, 4th column. – 8.6 + 11.4 is keyed in as (-), 8.6, +, 11.4, ENTER 2.8 Lecture 1 16 Use the calculator to evaluate: – 16.85 – 28.42 To add signed numbers use the opposite key (–) and binary subtraction key – – 16.85 – 28.42 is keyed in as (–), 16.85, –, 28.42, ENTER – 45.27 Lecture 1 17